Pith Number

pith:7OFRLZIQ

pith:2019:7OFRLZIQE3J2GIJFZH5UKVO6M4

not attested not anchored not stored refs pending

Tropical Ehrhart Theory and Tropical Volume

Georg Loho, Matthias Schymura

arxiv:1908.07893 v1 · 2019-08-21 · math.MG · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OFRLZIQE3J2GIJFZH5UKVO6M4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T23:59:02.183885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb8b15e51026d3a32125c9fb4555de670574d4e412fd367e80d2780e779aa88e

Aliases

arxiv: 1908.07893 · arxiv_version: 1908.07893v1 · doi: 10.48550/arxiv.1908.07893 · pith_short_12: 7OFRLZIQE3J2 · pith_short_16: 7OFRLZIQE3J2GIJF · pith_short_8: 7OFRLZIQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7OFRLZIQE3J2GIJFZH5UKVO6M4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fb8b15e51026d3a32125c9fb4555de670574d4e412fd367e80d2780e779aa88e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "217dc6b45c2c528a5afcc8c8cba9eb2241b1c5de32a6c84be757b2214ec3c7b9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-08-21T14:30:10Z",
    "title_canon_sha256": "fda13e3e030d6d4b07a2db6e087a959479425f9c400e7304f64c107c6e449656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07893",
    "kind": "arxiv",
    "version": 1
  }
}